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Seminar

Symmetry in Geometry: Slice-maximal torus actions, curvature and ellipticity April 14, 2016 (01:30 PM PDT - 02:30 PM PDT)
Parent Program: --
Location: MSRI: Simons Auditorium
Speaker(s) Martin Kerin (Westfälische Wilhelms-Universität Münster)
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Riemannian manifolds with non-negative sectional curvature seem to be very special.  Indeed, the Bott Conjecture asserts that any such manifold must be rationally elliptic and, under various symmetry assumptions, this has been verified.  In this talk, it will be shown that the Bott Conjecture is true in the presence of an isometric slice-maximal torus action.  Moreover, rationally-elliptic manifolds admitting a slice-maximal torus action will be classified up to rational homotopy equivalence.  This is joint work with F. Galaz-Garcia, M. Radeschi and M. Wiemeler.

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